NONAGON
Definition Of Nonagon
A polygon with nine sides is called a nonagon.
Examples of Nonagon
The following is a nonagon. All its sides do not measure the same.
The following is a regual nonagon. All its sides measure the same.
Video Examples: Nonagon
Solved Example on Nonagon
Ques: What is the perimeter of a regular nonagon of side 8 cm?
Choices:
A. 92 cm
B. 77 cm
C. 72 cm
D. 82 cm
Correct Answer: C
Solution:
Step 1: The perimeter of a regular polygon of n sides with each side measuring x is nx.
Step 2: A nonagon has 9 sides. All sides of a regular nonagon measure the same.
Step 3: So, the perimeter of the nonagon = n × 8.
Step 4: = 9 × 8 = 72 cm [Substituting n = 9 and x = 8.]
Quick Summary
- A nonagon has 9 sides.
- A regular nonagon has 9 equal sides and 9 equal angles.
- The perimeter of a regular nonagon is 9 times the length of one side.
⚠️ Common Mistakes
- Confusing nonagons with other polygons.
- Assuming all nonagons are regular.
- Incorrectly calculating the perimeter of a nonagon.
🌍 Real-World Uses
- The Pentagon in Washington, D.C., while named for a pentagon, has an outer ring that approximates a nonagon.
- Certain architectural designs, such as the floor plan of a gazebo or the layout of a decorative tile pattern, might incorporate a nonagon shape.
- Stop signs in some regions are shaped as nonagons instead of octagons.
📋 Standards Alignment
CCSS.MATH.CONTENT.3.G.A.1CCSS.MATH.CONTENT.4.G.A.2
🔗 Related Links
🍎 Teacher Insights
Use real-world examples to illustrate nonagons. Provide hands-on activities to help students visualize and understand the properties of nonagons. Emphasize the difference between regular and irregular nonagons.🎓 Prerequisites
- Basic understanding of polygons
- Knowledge of sides and angles
- Concept of perimeter
Check Your Knowledge
Q1: Which of the following is a nonagon?
Q2: What is the perimeter of a regular nonagon with sides of length 5 cm?
Frequently Asked Questions
Q: What is the sum of the interior angles of a nonagon?
A: The sum of the interior angles of a nonagon is 1260 degrees.
Q: What is a regular nonagon?
A: A regular nonagon is a nonagon where all sides are equal in length and all angles are equal in measure.